Search a number
-
+
231156100 = 225272959193
BaseRepresentation
bin11011100011100…
…10100110000100
3121002221221120001
431301302212010
5433133443400
634534251044
75504536330
oct1561624604
9532857501
10231156100
11109532aaa
12654b6a84
1338b75576
14229b27c0
1515460a6a
hexdc72984

231156100 has 144 divisors (see below), whose sum is σ = 606211200. Its totient is φ = 74833920.

The previous prime is 231156091. The next prime is 231156113. The reversal of 231156100 is 1651132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1197604 + ... + 1197796.

It is an arithmetic number, because the mean of its divisors is an integer number (4209800).

Almost surely, 2231156100 is an apocalyptic number.

231156100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231156100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303105600).

231156100 is an abundant number, since it is smaller than the sum of its proper divisors (375055100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231156100 is a wasteful number, since it uses less digits than its factorization.

231156100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 231156100 is about 15203.8185992862. The cubic root of 231156100 is about 613.7174231198.

The spelling of 231156100 in words is "two hundred thirty-one million, one hundred fifty-six thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 59 70 100 116 118 140 145 175 193 203 236 290 295 350 386 406 413 580 590 700 725 772 812 826 965 1015 1180 1351 1450 1475 1652 1711 1930 2030 2065 2702 2900 2950 3422 3860 4060 4130 4825 5075 5404 5597 5900 6755 6844 8260 8555 9650 10150 10325 11194 11387 11977 13510 17110 19300 20300 20650 22388 22774 23954 27020 27985 33775 34220 39179 41300 42775 45548 47908 55970 56935 59885 67550 78358 79709 85550 111940 113870 119770 135100 139925 156716 159418 171100 195895 227740 239540 279850 284675 299425 318836 330223 391790 398545 559700 569350 598850 660446 783580 797090 979475 1138700 1197700 1320892 1594180 1651115 1958950 1992725 2311561 3302230 3917900 3985450 4623122 6604460 7970900 8255575 9246244 11557805 16511150 23115610 33022300 46231220 57789025 115578050 231156100